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Finding the Third Proportional to 472,540 and 1,028,024

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Solution

The third proportional to 472,540 and 1,028,024 is: 2,236,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,540 : 1,028,024 = 1,028,024 : x
  2. Step 2: Convert to fraction form
    472,540/1,028,024 = 1,028,024/x
  3. Step 3: Cross multiply
    472,540x = 1,028,024 × 1,028,024
  4. Step 4: Simplify right side
    472,540x = 1,056,833,344,576
  5. Step 5: Solve for x
    x = 1,056,833,344,576/472,540
  6. Step 6: Final answer
    x = 2,236,494.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.